{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "071e2be6",
   "metadata": {},
   "source": [
    "# Example: ITKStrain with Numpy Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "db4e2251",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "itk.itkStrainImageFilterPython.itkStrainImageFilterIVF22FF"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import itk\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Verify itk-ultrasound is present\n",
    "assert 'Strain' in dir(itk)\n",
    "\n",
    "# Verify that the necessary wrappings are available for this example\n",
    "itk.StrainImageFilter[itk.Image[itk.Vector[itk.F,2],2],itk.F,itk.F]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "0e02dccb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Numpy array has shape (50, 50, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create sample displacement image with random noise\n",
    "arr = np.random.rand(50,50,2)\n",
    "arr[20:30,10:40,:] = 2\n",
    "arr = arr.astype(np.float32)\n",
    "print(f'Numpy array has shape {arr.shape}')\n",
    "\n",
    "# View image\n",
    "_, axs = plt.subplots(ncols=2,figsize=(10,4))\n",
    "for idx in range(2):\n",
    "    im = axs[idx].imshow(arr[:,:,idx])\n",
    "    fig.colorbar(im,ax=axs[idx])\n",
    "    \n",
    "axs[0].set(title='Horizontal Displacement')\n",
    "axs[1].set(title='Vertical Displacement')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "b42ed697",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create ITK vector image from numpy array\n",
    "vector_image = itk.image_from_array(arr, is_vector=True)\n",
    "assert vector_image.GetVectorLength() == 2\n",
    "\n",
    "# Cast to itk.Image\n",
    "image_type = itk.Image[itk.Vector[itk.F,2],2]\n",
    "image = itk.cast_image_filter(vector_image, \n",
    "                              ttype=[type(vector_image), image_type])\n",
    "\n",
    "# Apply relevant spatial properties. Here we arbitrarily set spacing and origin.\n",
    "image.SetSpacing([0.1,0.2])\n",
    "image.SetOrigin([1,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "69539b1c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate ITK strain image from ITK vector image\n",
    "vector_type = itk.template(image)[1][0]\n",
    "real_type = itk.template(vector_type)[1][0]\n",
    "\n",
    "# Functional interface is not supported for StrainImageFilter so we define a filter object.\n",
    "strain_filter = itk.StrainImageFilter[type(image),real_type,real_type].New()\n",
    "strain_filter.SetInput(image)\n",
    "strain_filter.Update()\n",
    "strain_image = strain_filter.GetOutput()\n",
    "\n",
    "# Create numpy array from ITK image\n",
    "strain_array = itk.array_view_from_image(strain_image)\n",
    "\n",
    "# View strain\n",
    "fig, axs = plt.subplots(ncols=3,figsize=(10,4),sharey=True)\n",
    "for idx in range(3):\n",
    "    im = axs[idx].pcolormesh(strain_array[:,:,idx])\n",
    "    fig.colorbar(im, ax=axs[idx])\n",
    "    \n",
    "axs[0].set(title='Horizontal Strain')\n",
    "axs[1].set(title='Horizontal/Vertical Strain')\n",
    "axs[2].set(title='Vertical Strain')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
